Step 1

Solution :

6 Criteria for the Binomial Probability :

1. There are fixed number of trials (n), n should be positive integer.

2. Each trial is Bernoulli's trial. i.e. trials have only two outcomes (success and failure).

3. All trials are independent of each other.

4. Probability of success (p) at each trial remains constant.

5. For binomial probability ,

\(\displaystyle{E}{\left({x}\right)}={n}{p}\)

\(\displaystyle{V}{\left({x}\right)}={n}{p}{\left({1}-{p}\right)}\)

6. For binomial probability distribution ,

\(\displaystyle{V}{\left({x}\right)}\leq{E}{\left({x}\right)}\)

Step 2

Out of these criterion following four pertain to the Binomial:

1. There are fixed number of trials (n), n should be positive integer.

2. Each trial is Bernoulli's trial. i.e. trials have only two outcomes (success and failure).

3. All trials are independent of each other.

4. Probability of success (p) at each trial remains constant.

Solution :

6 Criteria for the Binomial Probability :

1. There are fixed number of trials (n), n should be positive integer.

2. Each trial is Bernoulli's trial. i.e. trials have only two outcomes (success and failure).

3. All trials are independent of each other.

4. Probability of success (p) at each trial remains constant.

5. For binomial probability ,

\(\displaystyle{E}{\left({x}\right)}={n}{p}\)

\(\displaystyle{V}{\left({x}\right)}={n}{p}{\left({1}-{p}\right)}\)

6. For binomial probability distribution ,

\(\displaystyle{V}{\left({x}\right)}\leq{E}{\left({x}\right)}\)

Step 2

Out of these criterion following four pertain to the Binomial:

1. There are fixed number of trials (n), n should be positive integer.

2. Each trial is Bernoulli's trial. i.e. trials have only two outcomes (success and failure).

3. All trials are independent of each other.

4. Probability of success (p) at each trial remains constant.